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- W2807780120 abstract "For conformal maps defined in the unit disk one can define a certain Poisson bracket that involves the harmonic moments of the image domain. When this bracket is applied to the conformal map itself together with its conformally reflected map the result is identically one. This is called the string equation, and it is closely connected to the governing equation, the Polubarinova–Galin equation, for the evolution of a Hele-Shaw blob of a viscous fluid (or, by another name, Laplacian growth). In the present paper we show that the string equation makes sense and holds for general polynomials." @default.
- W2807780120 created "2018-06-21" @default.
- W2807780120 creator A5062235893 @default.
- W2807780120 date "2018-06-15" @default.
- W2807780120 modified "2023-10-08" @default.
- W2807780120 title "The string equation for polynomials" @default.
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- W2807780120 doi "https://doi.org/10.1007/s13324-018-0239-3" @default.
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